This is part two on the function: $f(x)=ln(2+sinx)$

In part two, there are five questions as follows:

$6.$ Second order derivative, $f^{\text{'}\text{'}}(x)$ :

$7.$ Solutions to $f^{\text{'}\text{'}}(x)=0$ on $0,2$ :

$8.$ Interval$($s$)$ of concave up on $0,2$ :

$9.$ Interval of concave down $0,2$ :

$10.$ Inflection point that is closer to the left end point on $0,2$ :

Choices of answers:

J$.\frac{2sinx-1}{(2+sinx{)}^2}$

K$.-\frac{2sinx+1}{(2+sinx{)}^2}$

L$.,d_1=\frac{7}{6},d_2=\frac{11}{6}$

$M,d_1=\frac{}{6},d_2=\frac{5}{6}$

N $.$ Intervals $0,\frac{7}{6}$

O$.$ Intervals $0,\frac{}{6}$

P$.$ Interval $(\frac{7}{6},\frac{11}{6})$

Q$.$ Interval $(\frac{}{6},\frac{5}{6})$

R$.$ Point $(\frac{7}{6},ln(\frac{3}{2}))$

S$.$ Point $(\frac{}{6},ln(\frac{5}{2}))$

T$.$ Point $(\frac{11}{6},ln(\frac{3}{2}))$

U$.$ Point $(\frac{5}{6},ln(\frac{5}{2}))$

Match the questions with one of the answers